Senate Minority Leader Mitch McConnell, R-Ky., said he supports legislation passed by a Kentucky Senate committee Wednesday to change the state's election law to allow one candidate to run in multiple federal races on the same ballot.

The law would potentially benefit current Sen. Rand Paul, R-Ky., who is up for re-election to his Senate seat in 2016 but has his eye on a potential White House run.

McConnell's support is not a surprise given his political alliance with Paul, whose early endorsement in this year's Senate GOP primary in the Bluegrass State has helped gird the leader against a potential primary upset from the right. According to the Lexington Herald-Leader , the legislation has little chance of passing the Democrat-controlled state house, and it's unclear whether a legislative fix would be needed for primary ballots. But that hasn't stopped Paul from actively pursuing the change.

"I think it sounds like a good idea," Paul told CQ Roll Call teasingly Wednesday. "The session goes pretty quickly, you know it ends in a week or two, but we'll see if the Democrats bring it up."

When asked how to clear such legislation through a chamber controlled by the opposite party, Paul offered a two-part answer.

"Do you have any ideas?" he asked, before quipping, "One solution would be to make it a Republican-controlled House."